{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:31:57.554866Z",
     "start_time": "2019-05-24T00:31:53.636905Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['Raleway'] not found. Falling back to DejaVu Sans.\n",
      "findfont: Font family ['Lato'] not found. Falling back to DejaVu Sans.\n"
     ]
    }
   ],
   "source": [
    "# load modules\n",
    "import os\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pickle\n",
    "\n",
    "# Plotting imports\n",
    "import matplotlib\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import palantir\n",
    "import scanpy.api as sc\n",
    "sc.settings.verbosity = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:31:57.560215Z",
     "start_time": "2019-05-24T00:31:57.557465Z"
    }
   },
   "outputs": [],
   "source": [
    "import random\n",
    "random.seed(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:31:57.566883Z",
     "start_time": "2019-05-24T00:31:57.562742Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Download data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Anndata objects with all the data and metadata are publically avaiable at: https://s3.amazonaws.com/dp-lab-data-public/palantir/human_cd34_bm_rep[1-3].h5ad. This notebook use replicate 1 (https://s3.amazonaws.com/dp-lab-data-public/palantir/human_cd34_bm_rep1.h5ad) for illustration. \n",
    "\n",
    "Description of the anndata object is available at https://s3.amazonaws.com/dp-lab-data-public/palantir/readme"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:31:58.776537Z",
     "start_time": "2019-05-24T00:31:57.569064Z"
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# Load the AnnData object\n",
    "ad = sc.read('annadata/human_cd34_bm_rep1.h5ad')\n",
    "colors = pd.Series(ad.uns['cluster_colors'])\n",
    "ct_colors = pd.Series(ad.uns['ct_colors'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DPT"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:31:58.785398Z",
     "start_time": "2019-05-24T00:31:58.778934Z"
    }
   },
   "outputs": [],
   "source": [
    "# Set the start / root cell\n",
    "ad.uns['iroot'] = np.flatnonzero(ad.obs_names == ad.obs['palantir_pseudotime'].idxmin())[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:33:07.465722Z",
     "start_time": "2019-05-24T00:31:58.787829Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Note that scikit-learn's randomized PCA might not be exactly reproducible across different computational platforms. For exact reproducibility, choose `svd_solver='arpack'.` This will likely become the Scanpy default in the future.\n",
      "computing PCA with n_comps = 300\n",
      "    finished (0:00:04.45)\n",
      "    and added\n",
      "    'X_pca', the PCA coordinates (adata.obs)\n",
      "    'PC1', 'PC2', ..., the loadings (adata.var)\n",
      "    'pca_variance', the variance / eigenvalues (adata.uns)\n",
      "    'pca_variance_ratio', the variance ratio (adata.uns)\n",
      "computing tSNE\n",
      "    using 'X_pca' with n_pcs = 300\n",
      "    using the 'MulticoreTSNE' package by Ulyanov (2017)\n",
      "    finished (0:00:51.46) --> added\n",
      "    'X_tsne', tSNE coordinates (adata.obsm)\n",
      "computing neighbors\n",
      "    using 'X_pca' with n_pcs = 300\n",
      "    computed neighbors (0:00:00.72)\n",
      "    computed connectivities (0:00:06.74)\n",
      "    finished (0:00:00.02) --> added to `.uns['neighbors']`\n",
      "    'distances', distances for each pair of neighbors\n",
      "    'connectivities', weighted adjacency matrix\n",
      "computing Diffusion Maps using n_comps=10(=n_dcs)\n",
      "        initialized `.distances` `.connectivities` \n",
      "    computed transitions (0:00:00.04)\n",
      "    eigenvalues of transition matrix\n",
      "    [1.         0.9849899  0.97812945 0.9549652  0.9394395  0.92903304\n",
      "     0.9068288  0.90428394 0.8509435  0.8371804 ]\n",
      "    finished (0:00:00.25) --> added\n",
      "    'X_diffmap', diffmap coordinates (adata.obsm)\n",
      "    'diffmap_evals', eigenvalues of transition matrix (adata.uns)\n",
      "        initialized `.distances` `.connectivities` `.eigen_values` `.eigen_basis` `.distances_dpt`\n",
      "computing Diffusion Pseudotime using n_dcs=10\n",
      "    this uses a hierarchical implementation\n",
      "        detect 3 branchings\n",
      "        do not consider groups with less than 57 points for splitting\n",
      "        group 0 score 1.555689 n_points 5780 \n",
      "        branching 1: split group 0\n",
      "        group 0 score 1.3113303 n_points 63 \n",
      "        group 1 score 1.6766814 n_points 1196 \n",
      "        group 2 score 1.1366823 n_points 562 \n",
      "        group 3 score 1.6420908 n_points 2799 \n",
      "        branching 2: split group 1\n",
      "        group 0 score 1.3113303 n_points 63 \n",
      "        group 1 score 0.26748806 n_points 5 (too small)\n",
      "        group 2 score 1.1366823 n_points 562 \n",
      "        group 3 score 1.6420908 n_points 2799 \n",
      "        group 4 score 1.2083104 n_points 970 \n",
      "        group 5 score 1.333738 n_points 151 \n",
      "        group 6 score 1.0511937 n_points 47 (too small)\n",
      "        branching 3: split group 3\n",
      "    finished (0:00:04.93) --> added\n",
      "    'dpt_pseudotime', the pseudotime (adata.obs)\n",
      "    'dpt_groups', the branching subgroups of dpt (adata.obs)\n",
      "    'dpt_order', cell order (adata.obs)\n"
     ]
    }
   ],
   "source": [
    "# PCA, tSNE, diffusion maps and DPT\n",
    "sc.pp.pca(ad, n_comps=300)\n",
    "sc.tl.tsne(ad);\n",
    "sc.pp.neighbors(ad, 50)\n",
    "sc.tl.diffmap(ad, 10)\n",
    "sc.tl.dpt(ad, n_dcs=10, n_branchings=3, copy=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot below shows the tSNE map colored using the same color scheme shown in Fig 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:33:07.998417Z",
     "start_time": "2019-05-24T00:33:07.468169Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(ad.obsm['X_tsne'][:, 0], ad.obsm['X_tsne'][:, 1],\n",
    "           s=3, color=colors[ad.obs['clusters']])\n",
    "ax = plt.gca()\n",
    "ax.set_axis_off()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pseudotime"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:33:08.451260Z",
     "start_time": "2019-05-24T00:33:08.000937Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(ad.obsm['X_tsne'][:, 0], ad.obsm['X_tsne'][:, 1],\n",
    "           s=3, c=ad.obs['dpt_pseudotime'], cmap=matplotlib.cm.plasma)\n",
    "ax = plt.gca()\n",
    "ax.set_axis_off()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Branches"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Branches identified by DPT"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:33:08.461545Z",
     "start_time": "2019-05-24T00:33:08.453613Z"
    }
   },
   "outputs": [],
   "source": [
    "branches = ad.obs['dpt_groups'].unique()\n",
    "dpt_colors = pd.Series(sns.color_palette('hls',  len(branches)).as_hex(), \n",
    "                       index=branches)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:33:53.321885Z",
     "start_time": "2019-05-24T00:33:52.812099Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(ad.obsm['X_tsne'][:, 0], ad.obsm['X_tsne'][:, 1],\n",
    "           s=3, color=dpt_colors[ad.obs['dpt_groups'].values])\n",
    "ax = plt.gca()\n",
    "ax.set_axis_off()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trends"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:33:57.982166Z",
     "start_time": "2019-05-24T00:33:57.979069Z"
    }
   },
   "outputs": [],
   "source": [
    "genes = ['CD34', 'MPO', 'IRF8', 'CD79A', 'GATA1', 'ITGA2B'] + \\\n",
    "    ['CD34', 'SPI1', 'MPO', 'GATA1', 'IRF8', 'CD79B', 'CEBPG', 'CSF1R']\n",
    "genes = list(set(genes))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:33:57.994938Z",
     "start_time": "2019-05-24T00:33:57.991687Z"
    }
   },
   "outputs": [],
   "source": [
    "trends = pd.Series()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:34:01.084731Z",
     "start_time": "2019-05-24T00:33:57.997306Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    generating colors for dpt_groups using palette\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x180 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "paths = [('Ery', [0, 5, 4]),  # use the category indices instead of the cluster names\n",
    "         ('Mono', [0, 3, 8, 9]), \n",
    "         ('CLP', [0, 2]),\n",
    "         ('Mega', [0, 5, 6]),\n",
    "         ('DC', [0, 3, 8, 7])]\n",
    "\n",
    "_, axs = plt.subplots(ncols=len(paths), figsize=(6, 2.5), gridspec_kw={'wspace': 0.05, 'left': 0.11})\n",
    "plt.subplots_adjust(left=0.05, right=0.98, top=0.82, bottom=0.2)\n",
    "for ipath, (descr, path) in enumerate(paths):\n",
    "    _, data = sc.pl.paga_path(\n",
    "        ad, path, genes,                         \n",
    "        show_node_names=False,\n",
    "        groups_key='dpt_groups',\n",
    "        ax=axs[ipath],\n",
    "        n_avg=50,\n",
    "        show_yticks=True if ipath==0 else False,\n",
    "        show_colorbar=False,\n",
    "        color_map='Greys',                             \n",
    "        title='path to\\n{} fate'.format(descr),\n",
    "        return_data=True,\n",
    "        show=False)\n",
    "    trends[descr] = data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:34:01.089374Z",
     "start_time": "2019-05-24T00:34:01.086784Z"
    }
   },
   "outputs": [],
   "source": [
    "from matplotlib.ticker import FormatStrFormatter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-05-24T00:34:03.459434Z",
     "start_time": "2019-05-24T00:34:01.091961Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 360x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "genes = ['CD34', 'MPO',  'CD79B', 'ITGA2B', 'CSF1R', 'GATA1']\n",
    "labels = ['CD34', 'MPO', 'CD79B', 'CD41', 'CSF1R', 'GATA1']\n",
    "\n",
    "for gene, label in zip(genes, labels):\n",
    "    fig = plt.figure(figsize=[5, 2])\n",
    "\n",
    "    ax = plt.gca()\n",
    "\n",
    "    for l in trends.keys():\n",
    "        order = trends[l].distance.sort_values().index\n",
    "    \n",
    "        bins = np.ravel(trends[l].distance[order])\n",
    "        t = np.ravel(trends[l].loc[order, gene])\n",
    "\n",
    "        # Plot\n",
    "        plt.scatter(bins, t, color=ct_colors[l], s=5)\n",
    "\n",
    "\n",
    "    ax.set_title(label)\n",
    "    ax.set_xlabel('Pseudo-time ordering', fontsize=10)\n",
    "    ax.yaxis.set_major_formatter(FormatStrFormatter('%.1f'))\n",
    "    plt.xticks(fontsize=8)\n",
    "    plt.yticks(fontsize=8)\n",
    "\n",
    "    sns.despine()\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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